Unit 2

Trigonometry

Investigation



a.
Use technology to sketch the graph of «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«mi»sin«/mi»«mi»x«/mi»«/mrow»«/mstyle»«/math».
b.
Use technology to sketch the graph of «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»g«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«mi»cos«/mi»«mi»x«/mi»«mi»tan«/mi»«mi»x«/mi»«/mrow»«/mstyle»«/math».
c.
How do the two graphs compare?

a.
Determine «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mfenced»«mfrac»«mo»§#960;«/mo»«mn»2«/mn»«/mfrac»«/mfenced»«/mrow»«/mstyle»«/math» and «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»g«/mi»«mfenced»«mfrac»«mo»§#960;«/mo»«mn»2«/mn»«/mfrac»«/mfenced»«/mrow»«/mstyle»«/math».
b.
Look back to your answer to part 1c. Are you still comfortable with your conclusion?

Information related to the solutions to these questions can be found in the Lesson.